Abstract
The author's previous treatment of diffusion of oxygen from an idealized capillary is made more exact; the treatment here is valid for any substance which diffuses between blood and tissue, though the physical situation is still somewhat idealized. A general equation is derived but not solved.
Then follows an approximate treatment of the case in which all capillaries within a certain sphere have ceased to flow; conditions are discussed under which cells at the center of this sphere will die.
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Literature
Bloch, I. 1941. “Some Preliminary Consideration Concerning Concentration of Oxygen in Tissue.”Bull. Math. Biophysics,3, 121–126.
Henderson, L. J. 1928.Blood—A Study in General Physiology. New Haven: Yale University Press.
MacMillan, W. O. 1936.Theoretical Mechanics: The theory of the Potential. New York and London: McGraw Hill.
Rashevsky, N. 1940.Advances and Applications of Mathematical Biology. Chicago: University of Chicago Press.
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Bloch, I. Some theoretical considerations concerning the interchange of metabolites between capillaries and tissue. Bulletin of Mathematical Biophysics 5, 1–14 (1943). https://doi.org/10.1007/BF02478114
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DOI: https://doi.org/10.1007/BF02478114